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Finding the Third Proportional to 381,835 and 754,033

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Solution

The third proportional to 381,835 and 754,033 is: 1,489,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,835 : 754,033 = 754,033 : x
  2. Step 2: Convert to fraction form
    381,835/754,033 = 754,033/x
  3. Step 3: Cross multiply
    381,835x = 754,033 × 754,033
  4. Step 4: Simplify right side
    381,835x = 568,565,765,089
  5. Step 5: Solve for x
    x = 568,565,765,089/381,835
  6. Step 6: Final answer
    x = 1,489,035.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.